Finding the Third Proportional to 82,056 and 193,192

Step by Step Solution

1. Step 1: Write the proportion equation
   82,056 : 193,192 = 193,192 : x
2. Step 2: Convert to fraction form
   82,056/193,192 = 193,192/x
3. Step 3: Cross multiply
   82,056x = 193,192 × 193,192
4. Step 4: Simplify right side
   82,056x = 37,323,148,864
5. Step 5: Solve for x
   x = 37,323,148,864/82,056
6. Step 6: Final answer
   x = 454,849.72